Let's solve the equation \( 2x - 5 = 10 \).

### Step-by-step solution:

1. Start by adding 5 to both sides of the equation:
   \[
   2x - 5 + 5 = 10 + 5 \implies 2x = 15
   \]

2. Now, divide both sides by 2 to isolate \( x \):
   \[
   \frac{2x}{2} = \frac{15}{2} \implies x = \frac{15}{2} \implies x = 7.5
   \]

### Final answer:
\[
x = 7.5
\]

Would you like more details on any part of this solution?

Here are some related questions for practice:
1. Solve \( 3x - 4 = 8 \).
2. Solve \( 5x + 2 = 17 \).
3. Solve \( 4x - 3 = 9 \).
4. What happens if \( 2x - 5 = -10 \)?
5. Solve \( 7x + 1 = 22 \).

**Tip:** Always perform the same operation on both sides of an equation to maintain balance!

Learn how to solve the linear equation 2x - 5 = 10 with a detailed step-by-step solution. This problem covers essential algebraic concepts such as isolating variables and solving basic linear equations. Suitable for students in Grades 6-8.

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